Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.₆S₄

Direct product G=N×Q with N=C₃ and Q=C₄.₆S₄

		d	ρ	Label	ID
C₃×C₄.₆S₄		48	2	C3xC4.6S4	288,903

Semidirect products G=N:Q with N=C₃ and Q=C₄.₆S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.₆S₄) = Dic₃.₅S₄	φ: C₄.₆S₄/CSU₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4+	C3:1(C4.6S4)	288,846
C₃⋊₂(C₄.₆S₄) = Dic₃.₄S₄	φ: C₄.₆S₄/GL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:2(C4.6S4)	288,845
C₃⋊₃(C₄.₆S₄) = C₁₂.₁₄S₄	φ: C₄.₆S₄/C₄.A₄ → C₂ ⊆ Aut C₃	48	4	C3:3(C4.6S4)	288,914

Non-split extensions G=N.Q with N=C₃ and Q=C₄.₆S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄.₆S₄) = C₁₂.₁₁S₄	φ: C₄.₆S₄/C₄.A₄ → C₂ ⊆ Aut C₃	144	4	C3.(C4.6S4)	288,339

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4.6S4